- 1 In Class We Derived The Heat Equation For A One Dimensional Rod Of Constant Cross Sectional Area A If The Rod Has 1 (35.04 KiB) Viewed 109 times
1. In class, we derived the heat equation for a one-dimensional rod of constant cross-sectional area, A. If the rod has
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1. In class, we derived the heat equation for a one-dimensional rod of constant cross-sectional area, A. If the rod has
1. In class, we derived the heat equation for a one-dimensional rod of constant cross-sectional area, A. If the rod has a variable cross-sectional area, say A(x), derive the modified form of the heat equation. Assume no internal heat sources. Hint: Use similar rationale as the class derivation. dA(x) The area A(x + Ax) can be approximated as A(x) + Ax etc. dx